Pitch
Vertical rise over the run
Level distance; 12 gives x/12
Roof size (optional — for rafters, area and shingles)
Wall to wall: 30, 30.5 or 30' 6"
Along the ridge
Measured level
1.5 for a 2× ridge, 0 if none
10 gable · 15 hip/valleys

Results

Showing the example values — change any input to recalculate.

6/12roof pitch · 26.57°
Angle
26.57°
Slope (grade)
50%
Pitch multiplier
1.1180
Hip/valley factor
1.5000
Category
Conventional
Rafter length
17′ 9⅞″
Ridge height
7′ 6″
Roof area
1,503 sq ft
Squares
15.03
Squares + waste
16.53
Shingle bundles
50

Roofing materials allowed at 6/12

MaterialIRC minimumAt this pitch
Asphalt shingles2/12OK
Clay or concrete tile2½/12OK
Metal shingles3/12OK
Wood shingles / shakes3/12OK
Slate4/12OK
Mineral-surfaced roll roofing1/12OK
Standing-seam metal panels¼/12OK
Show the math (13 steps)
  1. Rise ÷ run = 0.50006 ÷ 12
  2. Pitch (rise per 12 of run) = 6/120.5000 × 12
  3. Angle = 26.57°atan(0.5000)
  4. Slope (grade) = 50%0.5000 × 100
  5. Pitch multiplier = 1.1180√(1 + 0.5000²)
  6. Hip/valley factor = 1.5000√(6² + 16.97²) ÷ 12
  7. Ridge height above wall plate = 7.50 ft(30 ÷ 2) × 0.5000
  8. Common rafter length = 17.82 ft(15 − 0.75″ ridge + 12″ overhang) × 1.1180
  9. Plan (footprint) area incl. overhang = 1,344 sq ft(30 + 2 × 1) × (40 + 2 × 1)
  10. Roof surface area = 1,502.6 sq ft1,344 × 1.1180
  11. Roofing squares = 15.031,502.6 ÷ 100
  12. Squares + 10% waste = 16.5315.03 × 1.1
  13. Shingle bundles (3 per square) = 50⌈16.53 × 3⌉

Roof Pitch Calculator by 17x7